On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs

Details On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs

2008-05-07

arxiv.org/abs/0805.0867v2

Mathematics

Functional Analysis

notational improvements and minor corrections, 6 pages; complement to arXiv:0712.3135

Scientific paper

We show that the Plancherel measure of the lamplighter random walk on a graph
coincides with the expected spectral measure of the absorbing random walk on
the Bernoulli percolation clusters. In the subcritical regime the spectrum is
pure point and we construct a complete orthonormal basis of finitely supported
eigenfunctions.

Affiliated with

Also associated with

No associations

Rating

On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-490481